I'm possibly one of the odd ones out I kinda use them interchangably like I'll be typing a reply to a post and use the term nappy then a few lines further on I'll type diaper, I always read over what I've written though before hitting post and change them to all be the same if I've done that.
Obviously being born and raised here they've always been nappies to me but I think the fact that most ABDL content on the internet uses diapers even when going to a british store online to buy stuff it often says diapers has kinda ingrained the word in my mind and I just slip into using it.
If I'm on a thread where someone has used diapers in my response I'll use diapers or correct my mixing of terms to diapers and vice versa for nappies. I've also noticed recently that, more often than not, if i'm talking about disposables I unconsciously write nappy but if talking about cloth I type diaper.